Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{3} - x^{2} - 6 x + 7 \)
$\times$ | \(\chi_{ 19 } ( 1, ·)\) | \(\chi_{ 19 } ( 11, ·)\) | \(\chi_{ 19 } ( 7, ·)\) |
---|---|---|---|
\(\chi_{ 19 }(1, ·)\) | \(\chi_{ 19 } ( 1, ·)\) | \(\chi_{ 19 } ( 11, ·)\) | \(\chi_{ 19 } ( 7, ·)\) |
\(\chi_{ 19 }(11, ·)\) | \(\chi_{ 19 } ( 11, ·)\) | \(\chi_{ 19 } ( 7, ·)\) | \(\chi_{ 19 } ( 1, ·)\) |
\(\chi_{ 19 }(7, ·)\) | \(\chi_{ 19 } ( 7, ·)\) | \(\chi_{ 19 } ( 1, ·)\) | \(\chi_{ 19 } ( 11, ·)\) |